Series Solution of the System of Integro-Differential Equations

被引：5

作者：

Abbasbandy, Saeid ^{[1
]}

Shivanian, Elyas ^{[1
]}

机构：

[1] Imam Khomeini Int Univ, Dept Math, Qazvin 3414916818, Iran

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2009年 / 64卷 / 12期

关键词：

Homotopy Analysis Method; Linear System of Integro-Differential Equations; Non-Linear System of integro-Differential Equations; HOMOTOPY ANALYSIS METHOD; SOLVE;

D O I：

10.1515/zna-2009-1206

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

This investigation presents a mathematical model describing the homotopy analysis method (HAM) for systems of linear and nonlinear integro-differential equations. Some examples are analyzed to illustrate the ability of the method for such systems. The results reveal that this method is very effective and highly promising.

引用

页码：811 / 818

页数：8

共 50 条

[1] Asymptotic solution of a system of integro-differential equations
G. V. Zavizion
Ukrainian Mathematical Journal, 1997, 49 (12) : 1819 - 1826
[2] A series solution of the nonlinear Volterra and Fredholm integro-differential equations
Shidfar, A.
Molabahrami, A.
Babaei, A.
Yazdanian, A.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2010, 15 (02) : 205 - 215
[3] SYSTEM OF INTEGRO-DIFFERENTIAL EQUATIONS
SUHADOLC, A
SIAM JOURNAL ON APPLIED MATHEMATICS, 1971, 21 (02) : 195 - &
[4] TAYLOR SERIES METHODS FOR SOLUTION OF VOLTERRA INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
GOLDFINE, A
MATHEMATICS OF COMPUTATION, 1977, 31 (139) : 691 - 707
[5] Construction of a nontrivial solution of a system of nonlinear integro-differential equations
Khachatryan, Kh. A.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2010, 45 (02): : 94 - 100
[6] Asymptotic behavior of the solution of a system of nonlinear integro-differential equations
M. M. Aptsiauri
T. A. Jangveladze
Z. V. Kiguradze
Differential Equations, 2012, 48 : 72 - 80
[7] Construction of a nontrivial solution of a system of nonlinear integro-differential equations
Kh. A. Khachatryan
Journal of Contemporary Mathematical Analysis, 2010, 45 : 94 - 100
[8] Asymptotic behavior of the solution of a system of nonlinear integro-differential equations
Aptsiauri, M. M.
Jangveladze, T. A.
Kiguradze, Z. V.
DIFFERENTIAL EQUATIONS, 2012, 48 (01) : 72 - 80
[9] Numerical Solution of the System of Nonlinear Volterra Integro-differential Equations
Ebadi, G.
Rahimi-Ardabili, M. Y.
Shahmorad, S.
SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2009, 33 (05) : 835 - 846
[10] CHEBYSHEV SOLUTION OF DIFFERENTIAL, INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS
ELGENDI, SE
COMPUTER JOURNAL, 1969, 12 (03): : 282 - &

← 1 2 3 4 5 →